Combinatorics of q-Characters of Finite-Dimensional Representations of Quantum Affine Algebras
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- Frenkel, E. & Mukhin, E. Commun. Math. Phys. (2001) 216: 23. doi:10.1007/s002200000323
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We study finite-dimensional representations of quantum affine algebras using q-characters. We prove the conjectures from [FR] and derive some of their corollaries. In particular, we prove that the tensor product of fundamental representations is reducible if and only if at least one of the pairwise normalized R-matrices has a pole.